document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65590>Question 65590</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square :\r<BR>\n" );
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document.write( "7 = 3x - 2x^2\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46315 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square :\r<BR>\n" );
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document.write( "7 = 3x - 2x^2\r<BR>\n" );
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document.write( "Let's change the order, so it looks more like the other problems you've probably been doing:<BR>\n" );
document.write( "-2x^2+3x=7<BR>\n" );
document.write( "Divide everything by the coefficient of x^2, -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2F-2%2B3x%2F-2=7%2F-2 ALIGN=MIDDLE  ALT=\"-2x%5E2%2F-2%2B3x%2F-2=7%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%283%2F2%29x=-7%2F2 ALIGN=MIDDLE  ALT=\"x%5E2-%283%2F2%29x=-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the coefficient of x, -(3/2) by 1/2, square it and add it to both sides of the equation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2%29%2A%28-3%2F2%29%29%5E2=%28-3%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29%2A%28-3%2F2%29%29%5E2=%28-3%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=9/16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%283%2F2%29x%2B9%2F16=-7%2F2%2B9%2F16 ALIGN=MIDDLE  ALT=\"x%5E2-%283%2F2%29x%2B9%2F16=-7%2F2%2B9%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F4%29%5E2=-7%2A8%2F%282%2A8%29%2B9%2F16 ALIGN=MIDDLE  ALT=\"%28x-3%2F4%29%5E2=-7%2A8%2F%282%2A8%29%2B9%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F4%29%5E2=-56%2F16%2B9%2F16 ALIGN=MIDDLE  ALT=\"%28x-3%2F4%29%5E2=-56%2F16%2B9%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F4%29%5E2=-47%2F16 ALIGN=MIDDLE  ALT=\"%28x-3%2F4%29%5E2=-47%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-3%2F4%29%5E2%29=%2B-sqrt%28-47%2F16%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-3%2F4%29%5E2%29=%2B-sqrt%28-47%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--if you haven't had complex numbers yet, you can stop here and say \"no real solution,\" if you have, keep going:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3%2F4=%2B-sqrt%2847%29i%2F4 ALIGN=MIDDLE  ALT=\"x-3%2F4=%2B-sqrt%2847%29i%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3%2F4%2B3%2F4=3%2F4%2B-sqrt%2847%29i%2F4 ALIGN=MIDDLE  ALT=\"x-3%2F4%2B3%2F4=3%2F4%2B-sqrt%2847%29i%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283%2B-sqrt%2847%29i%29%2F4 ALIGN=MIDDLE  ALT=\"x=%283%2B-sqrt%2847%29i%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );